Question

Solve $16x^2-36x+7$

Answer 1

Consider given the expression,

$\Rightarrow 16x^2-36x+7$

Using the formula,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-36)\pm \sqrt{{(-36)}^2-4\times 16\times 7}}{2\times 16}$

$x=\frac{36\pm \sqrt{1296-448}}{32}$

$x=\frac{36\pm \sqrt{848}}{32}$

$x=\frac{36\pm 4\sqrt{53}}{32}$

$x=\frac{9\pm \sqrt{53}}{8}$

Hence,

$x=\frac{9+\sqrt{53}}{8},x=\frac{9-\sqrt{53}}{8}$

Hence, this is the answer.